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Finding the Fourth Proportional to 257,964, 355,970.80 and 144,764.88

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Solution

The fourth proportional to 257,964, 355,970.80 and 144,764.88 is: 199,764.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,964 : 355,970.80 = 144,764.88 : x
  2. Step 2: Convert to fraction form
    257,964/355,970.80 = 144,764.88/x
  3. Step 3: Cross multiply
    257,964x = 355,970.80 × 144,764.88
  4. Step 4: Simplify right side
    257,964x = 51,532,070,145.50
  5. Step 5: Solve for x
    x = 51,532,070,145.50/257,964
  6. Step 6: Final answer
    x = 199,764.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.